Details

sample53.0ms

Algorithm

intervals

Results

19.0ms	257×	body	80	valid
10.0ms	276×	body	80	nan

simplify964.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1080
3	208
2	63
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`prod-diff`
12×	`log-prod`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `diff-log` `add-exp-log` `associate--r+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `sum-log` `associate-r` `associate-l` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`flip3-+` `flip3--` `associate-*l/` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

168.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms	(- x (* (+ y 0.5) (log y)))
20.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
28.0ms	(* (+ y 0.5) (log y))

series531.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
40.0ms	(- x (* (+ y 0.5) (log y)))
50.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
379.0ms	(* (+ y 0.5) (log y))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2391
1	571
0	213

prune611.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1 (fma (+ 0.5 y) (- (log y)) (+ x y))) z)
0.1b	(fma (+ 0.5 y) (- (log y)) (+ x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `add-log-exp`
3×	`add-sqr-sqrt` `prod-diff` `add-cube-cbrt` `fma-udef`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `associate--l+` `add-exp-log` `log1p-expm1-u`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `fma-neg` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 31

Calls

2 calls:

9.0ms	(- (* 1 (fma (+ 0.5 y) (- (log y)) (+ x y))) z)
0.0ms	(fma (+ 0.5 y) (- (log y)) (+ x y))

series178.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- (* 1 (fma (+ 0.5 y) (- (log y)) (+ x y))) z)
91.0ms	(fma (+ 0.5 y) (- (log y)) (+ x y))

simplify704.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
2	1124
1	259
0	99

prune225.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.5 y) (* 2 (log (cbrt y))))
0.2b	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
24×	`log-prod`
20×	`*-un-lft-identity`
18×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`prod-diff`
5×	`associate--l+`
4×	`expm1-log1p-u` `associate-l` `associate-*r/` `frac-sub` `log1p-expm1-u`
3×	`flip3-+` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `flip--`
2×	`sub-neg` `pow1/3` `associate-*l/` `associate--r+`
1×	`associate--l-` `associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

33.0ms	(* (+ 0.5 y) (* 2 (log (cbrt y))))
27.0ms	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

701.0ms	(* (+ 0.5 y) (* 2 (log (cbrt y))))
121.0ms	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
330.0ms	(cbrt y)
270.0ms	(cbrt y)

simplify1.5s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	3323
1	753
0	238

prune717.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- x (* (* (- (log y)) -1/3) (fma y 3 1.5))) y)
0.1b	(fma y 3 1.5)
0.3b	(* (* (- (log y)) -1/3) (fma y 3 1.5))
0.4b	(* (- (log y)) -1/3)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `associate-l*`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`add-log-exp`
6×	`associate-r`
5×	`associate-+l+`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `fma-def` `prod-diff` `fma-udef`
2×	`sum-log` `log-pow` `*-commutative`
1×	`distribute-rgt-in` `+-commutative` `neg-mul-1` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `associate-+l-` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

30.0ms	(+ (- x (* (* (- (log y)) -1/3) (fma y 3 1.5))) y)
0.0ms	(fma y 3 1.5)
18.0ms	(* (* (- (log y)) -1/3) (fma y 3 1.5))
17.0ms	(* (- (log y)) -1/3)

series735.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (- x (* (* (- (log y)) -1/3) (fma y 3 1.5))) y)
43.0ms	(fma y 3 1.5)
412.0ms	(* (* (- (log y)) -1/3) (fma y 3 1.5))
207.0ms	(* (- (log y)) -1/3)

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1897
1	399
0	152

prune629.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes261.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
2	18
1	17
0	12

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	8026×	body	80	valid
550.0ms	8141×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid